2965979408 has 120 divisors (see below), whose sum is σ = 6961697280. Its totient is φ = 1219088640.

The previous prime is 2965979399. The next prime is 2965979413. The reversal of 2965979408 is 8049795692.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4342235 + ... + 4342917.

It is an arithmetic number, because the mean of its divisors is an integer number (58014144).

Almost surely, 2^2965979408 is an apocalyptic number.

2965979408 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2965979408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3480848640).

2965979408 is an abundant number, since it is smaller than the sum of its proper divisors (3995717872).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2965979408 is a wasteful number, since it uses less digits than its factorization.

2965979408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 925 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 59.

The square root of 2965979408 is about 54460.8061636990. The cubic root of 2965979408 is about 1436.7770330843. Note that the first 3 decimals are identical.

The spelling of 2965979408 in words is "two billion, nine hundred sixty-five million, nine hundred seventy-nine thousand, four hundred eight".